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  • Joseph Nebus 4:00 pm on Tuesday, 25 July, 2017 Permalink | Reply
    Tags: , , , requests,   

    There’s Still Time To Ask For Things For The Mathematics A To Z 


    I’m figuring to begin my Summer 2017 Mathematics A To Z next week. And I’ve got the first several letters pinned down, in part by a healthy number of requests by Gaurish, a lover of mathematics. Partly by some things I wanted to talk about.

    There are many letters not yet spoken for, though. If you’ve got something you’d like me to talk about, please head over to my first appeal and add a comment. The letters crossed out have been committed, but many are free. And the challenges are so much fun.

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  • Joseph Nebus 4:00 pm on Thursday, 13 July, 2017 Permalink | Reply
    Tags: , , , requests,   

    What Would You Like In The Summer 2017 Mathematics A To Z? 


    I would like to now announce exactly what everyone with the ability to draw conclusions expected after I listed the things covered in previous Mathematics A To Z summaries. I’m hoping to write essays about another 26 topics, one for each of the major letters of the alphabet. And, as ever, I’d like your requests. It’s great fun to be tossed out a subject and either know enough about it, or learn enough about it in a hurry, to write a couple hundred words about it.

    So that’s what this is for. Please, in comments, list something you’d like to see explained.

    For the most part, I’ll do a letter on a first-come, first-serve basis. I’ll try to keep this page updated so that people know which letters have already been taken. I might try rewording or rephrasing a request if I can’t do it under the original letter if I can think of a legitimate way to cover it under another. I’m open to taking another try at something I’ve already defined in the three A To Z runs I’ve previously done, especially since many of the terms have different meanings in different contexts.

    I’m always in need of requests for letters such as X and Y. But you knew that if you looked at how sparse Mathworld’s list of words for those letters are.

    Letters To Request:

    • A
    • B
    • C
    • D
    • E
    • F
    • G
    • H
    • I
    • J
    • K
    • L
    • M
    • N
    • O
    • P
    • Q
    • R
    • S
    • T
    • U
    • V
    • W
    • X
    • Y
    • Z

    I’m flexible about what I mean by “a word” or “a term” in requesting something, especially if it gives me a good subject to write about. And if you think of a clever way to get a particular word covered under a letter that’s really inappropriate, then, good. I like cleverness. I’m not sure what makes for the best kinds of glossary terms. Sometimes a broad topic is good because I can talk about how an idea expresses itself across multiple fields. Sometimes a narrow topic is good because I can dig in to a particular way of thinking. I’m just hoping I’m not going to commit myself to three 2500-word essays a week. Those are fun, but they’re exhausting, as the time between Why Stuff Can Orbit essays may have hinted.

    And finally, I’d like to thank Thomas K Dye for creating banner art for this sequence. He’s the creator of the longrunning web comic Newshounds. He’s also got the book version, Newshounds: The Complete Story freshly published, a Patreon to support his comics habit, and plans to resume his Infinity Refugees spinoff strip shortly.

     
    • gaurish 2:12 pm on Monday, 17 July, 2017 Permalink | Reply

      A – Arithmetic
      C – Cohomology
      D – Diophantine Equations
      E – Elliptic curves
      F – Functor
      G – Gaussian primes/integers/distribution
      H – Height function (elliptic curves)
      I – integration
      L – L-function
      P – Prime number
      Z – zeta function

      I will tell more later. The banner art is very nice.

      Liked by 1 person

      • Joseph Nebus 5:37 pm on Tuesday, 18 July, 2017 Permalink | Reply

        Thank you! That’s a great set of topics to start on.

        And thanks for the kind words about the art. I’m quite happy with it and hope to get more for other projects. And, as ever, do hope people consider Thomas K Dye’s comic strips and Patreon.

        Like

      • gaurish 4:57 am on Wednesday, 26 July, 2017 Permalink | Reply

        J – Jordan Canonical Form
        K – Klien Bottle
        M – Meromorphic function
        N – Nine point circle
        O – Open set
        Q – Quasirandom numbers
        R – Real number
        S – Sárkőzy’s Theorem
        T – Torus
        U – Ulam Spiral
        V – Venn diagram
        W – Well ordering principle
        X – <I couldn’t find a word with x, but can discuss the importance of x as a variable>
        Y- Young tableau

        Liked by 2 people

        • elkement (Elke Stangl) 7:06 am on Wednesday, 26 July, 2017 Permalink | Reply

          Ha – I also suggested Open Set yesterday, see my comments below ;-) (from July 25 – on letters M N O R T V).

          Like

        • Joseph Nebus 12:39 pm on Thursday, 27 July, 2017 Permalink | Reply

          And thank you again! This gets the alphabet a good bit more done.

          And, yeah, ‘x’ is hard. But it’ll all be worth it in the end, I hope.

          Like

    • The Chaos Realm 4:53 pm on Monday, 17 July, 2017 Permalink | Reply

      I used the Riemann Tensor definition/explanation to front one of my sub-chapter pages in my poetry book (courtesy the guidance of a teacher I know). :-)

      Liked by 1 person

      • Joseph Nebus 5:35 pm on Tuesday, 18 July, 2017 Permalink | Reply

        Ah, that’s wonderful! There is this beauty in the way mathematical concepts are expressed — not the structure of the ideas, but the way we write them out, especially when we get a good idea of what we want to express. I’d like if more people could appreciate that without worrying that they don’t know, say, what a Ricci Flow would be.

        Liked by 1 person

        • The Chaos Realm 5:51 pm on Tuesday, 18 July, 2017 Permalink | Reply

          Thanks! I know there’s a really poetic beauty about astrophysics that I have loved for years. I may not understand all the equations, but I do feel I “get” physics in a way. looks up Ricci Flow. It’s definitely one of my major forms of inspirations…one of my most used muses!

          Like

          • Joseph Nebus 6:18 pm on Sunday, 23 July, 2017 Permalink | Reply

            I’m glad you do enjoy. There’s a lot about physics and mathematics that can’t be understood without great equations, but then there’s a lot about architecture that can’t be understood without a lot of mathematics and legal analyses. Nevertheless anyone can appreciate a beautiful building, and surely people can be told interesting enough stories about mathematics to appreciate the beauty there. Ideally, anyway.

            Liked by 2 people

    • mathtuition88 5:11 pm on Monday, 24 July, 2017 Permalink | Reply

      V for Voronoi diagram would be nice

      Like

    • mathtuition88 4:12 pm on Tuesday, 25 July, 2017 Permalink | Reply

      How about D for discrete Morse theory and M for Morse theory? These are subjects I am not familiar with myself.. it would be great to have an article describing the gist of it :)

      Like

      • Joseph Nebus 12:35 pm on Thursday, 27 July, 2017 Permalink | Reply

        I’m thoroughly unfamiliar with either myself, but I’m excited to give them a try! ‘M’ had been free, at least.

        Liked by 1 person

    • elkement (Elke Stangl) 4:14 pm on Tuesday, 25 July, 2017 Permalink | Reply

      N – N-Sphere or N-Ball
      O – Open Set
      R – Riemann Tensor

      Like

      • elkement (Elke Stangl) 4:35 pm on Tuesday, 25 July, 2017 Permalink | Reply

        Ah, the Riemann Tensor has already been claimed :-) Sorry, I did not read the other comments carefully. So then:
        R – Ricci Tensor

        Like

        • Joseph Nebus 12:38 pm on Thursday, 27 July, 2017 Permalink | Reply

          You know, deep down, I worried I was making trouble for myself mentioning the Ricci Tensor (or was it the Ricci Flow I mentioned? Ricci something, anyway) but what’s the fun of this without making trouble for myself?

          Liked by 1 person

      • Joseph Nebus 12:35 pm on Thursday, 27 July, 2017 Permalink | Reply

        Thank you, that’s getting the alphabet filled out a bit more.

        Liked by 1 person

    • elkement (Elke Stangl) 4:16 pm on Tuesday, 25 July, 2017 Permalink | Reply

      BTW – service for the other readers: Here is the neat table showing what Joseph has already covered in previous A-Z series: https://nebusresearch.wordpress.com/2017/06/29/a-listing-of-mathematics-subjects-i-have-covered-in-a-to-z-sequences-of-the-past/

      Like

    • elkement (Elke Stangl) 4:26 pm on Tuesday, 25 July, 2017 Permalink | Reply

      M – Manifold
      T – Topology (or Topological Manifold). Alternative: Tangent Bundle
      V – Volume Forms or Vector Bundle

      So you see, I am still in awe of the math that underpins General Relativity :-) But please, totally explain it from a ‘pure math’ perspective … I am most interested in if and how your perspective may differ from how such things are introduced in theoretical physics.

      Liked by 1 person

    • mathtuition88 9:20 am on Wednesday, 26 July, 2017 Permalink | Reply

      Reblogged this on Singapore Maths Tuition.

      Like

    • sheldonk2014 11:22 pm on Tuesday, 8 August, 2017 Permalink | Reply

      Hey Joseph
      How’s the pinball playing
      Great to see you

      Like

  • Joseph Nebus 6:00 pm on Tuesday, 18 October, 2016 Permalink | Reply
    Tags: , requests, y   

    The End Of 2016 Mathematics A To Z: Any Requests? 


    I have fun with these, and they’re surprisingly easy to write once I get started. So I’d like to send November and December out with another of my Mathematics A To Z projects. To that end I’m open for suggestions. Have you got a mathematical term that you’d like to dare me to explain? I’m happy to give it a try. Please leave a comment here with the word, or words, you’d like to suggest. And please send folks who might like a couple paragraphs on some mathematical term over this way. I’ll need help filling out the alphabet, especially, based on past experience, the letter ‘y’. There’s not enough mathematical terms starting with ‘y’ to make it easy for me. I’ll need help.

    I usually take this as a first-come, first-serve sort of thing. But I reserve the right to fiddle with synonyms or alternate phrasings if I’m intrigued by something whose letter was already taken. I’ll try to update the roster here with what’s taken and what’s free.

    Here’s the roundup for the Summer 2015 A To Z, and then here’s the roundup for the Leap Day 2016 A To Z. So those cover words I’ve already gotten to. And now I’ve discovered I was inconsistent about whether to use the WordPress tag ‘atoz’ or ‘a-to-z’ and don’t think that isn’t going to drive me crazy.

    Here I’ll try to keep an updated roster of what letters have gotten knocked out:

    algebra Jordan curve smooth
    boundary value problems kernel tree
    Cantor’s middle third local unlink
    distribution (statistics) Monster Group Voronoi diagram
    ergodic normal numbers Weierstrass Function
    Fredholm alternative osculating circle Xi function
    general covariance principal Yang Hui’s Triangle
    hat quotient groups Zermelo-Fraenkel Axioms
    image Riemann sum

    Is there anything sure to get a word explained by me? Not sure. Picking a letter that’s free helps considerably. I am so going to need a ‘y’ word. Picking a letter early helps. I’m not sure whether it’s better to pick a word that’s got broad applicability or a specialized term. A broadly applicable word tends to be an important one. A specialized term lets me dig into a field I might not actually know much about. That can be fun. Mostly, though, pick the lousy letters of the alphabet. ‘x’ and ‘z’ don’t make things easy for me either. ‘q’ could use some help too.

     
    • howardat58 6:15 pm on Tuesday, 18 October, 2016 Permalink | Reply

      Cantor’s middle third
      (that would be C)

      Like

    • gaurish 5:07 pm on Wednesday, 19 October, 2016 Permalink | Reply

      Normal numbers: I came across it while studying work of Erdős, and wanted to write a post explaining it but could not put it together.

      Like

    • gaurish 5:37 pm on Wednesday, 19 October, 2016 Permalink | Reply

      Quotient groups, monster groups, zero or zermelo-fraenkel axioms, Yang Hui’s Triangle: Primitive form of Pascal’s Triangle, commonly known in China; XOR Boolean operation.

      Like

    • elkement (Elke Stangl) 7:30 am on Friday, 21 October, 2016 Permalink | Reply

      General Covariance (as used in general relativity), Tensor or Metric Tensor – depending on which of them you had already covered before. Apologies for not cross-checking with previous series ;-)

      Like

      • Joseph Nebus 5:14 am on Saturday, 22 October, 2016 Permalink | Reply

        General covariance I can do! If I can understand it myself. I confess tensors are one of those subjects I never got properly trained in, and that I’ve tried repeatedly to learn without ever mastering. But something like this is a good way to make me buckle down and work.

        Liked by 1 person

    • howardat58 6:46 pm on Sunday, 23 October, 2016 Permalink | Reply

      Osculating circle

      Like

  • Joseph Nebus 3:00 pm on Wednesday, 11 May, 2016 Permalink | Reply
    Tags: requests,   

    Any Requests, Theorem Thursdays Edition? 


    I don’t know just when I’ll have the energy for my next Mathematics A To Z. But I do want to do something. So for June and July I figure to run a Theorem Thursdays bit. Pitch me some theorems and I’ll do my best to explain what they’re about, or why they’re interesting, or how there might be some bit of mathematics-community folklore behind it. That would be the Contraction Mapping Theorem.

    While I’m calling it Theorem Thursdays that’s just for the sake of marketing. It doesn’t literally need to have “theorem” in the thing’s name. The only condition I mean to put on it is that I won’t do Cantor’s Diagonal Argument — the proof that there’s more real numbers than there are integers — because it’s already been done so well, so often, by everyone. I don’t have anything to say that could add to its explanation.

    Please, put your requests in comments here. I shall try to take the first nine that I see and feel like I can be competent to handle by the end of July. And I hope I’m not doing something soon to be disastrous. I may not know exactly what I’m doing, but then, if anyone ever did know exactly what they were doing they’d never do it.

     
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